Emmanuel Lorin

Orcid: 0000-0001-8854-4739

According to our database1, Emmanuel Lorin authored at least 39 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations.
Commun. Nonlinear Sci. Numer. Simul., February, 2024

2023
Schwarz waveform relaxation-learning for advection-diffusion-reaction equations.
J. Comput. Phys., 2023

2022
Generalized Fractional Algebraic Linear System Solvers.
J. Sci. Comput., 2022

Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties.
Comput. Phys. Commun., 2022

2021
ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b.
Numer. Linear Algebra Appl., 2021

Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers.
Numer. Algorithms, 2021

A numerical study of fractional linear algebraic systems.
Math. Comput. Simul., 2021

Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations.
CoRR, 2021

Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions.
Commun. Nonlinear Sci. Numer. Simul., 2021

2020
Stationary state computation for nonlinear Dirac operators.
J. Comput. Phys., 2020

Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces.
J. Comput. Phys., 2020

Derivation and analysis of parallel-in-time neural ordinary differential equations.
Ann. Math. Artif. Intell., 2020

2019
Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime.
SIAM J. Numer. Anal., 2019

Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations.
Numer. Algorithms, 2019

Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems.
Numer. Algorithms, 2019

From structured data to evolution linear partial differential equations.
J. Comput. Phys., 2019

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers.
J. Comput. Phys., 2019

Towards Perfectly Matched Layers for time-dependent space fractional PDEs.
J. Comput. Phys., 2019

On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation.
J. Comput. Appl. Math., 2019

Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces.
CoRR, 2019

2018
Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization.
Multiscale Model. Simul., 2018

Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation.
Appl. Math. Comput., 2018

2017
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations.
Numerische Mathematik, 2017

Computational performance of simple and efficient sequential and parallel Dirac equation solvers.
Comput. Phys. Commun., 2017

2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime.
J. Comput. Phys., 2016

Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis.
J. Comput. Phys., 2016

Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation.
Comput. Phys. Commun., 2016

Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems.
Appl. Math. Lett., 2016

2015
Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field.
J. Sci. Comput., 2015

2014
A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry.
J. Comput. Phys., 2014

Absorbing boundary conditions for relativistic quantum mechanics equations.
J. Comput. Phys., 2014

2013
On the numerical approximation of one-dimensional nonconservative hyperbolic systems.
J. Comput. Sci., 2013

2012
Efficient and accurate numerical modeling of a micro-macro nonlinear optics model for intense and short laser pulses.
J. Comput. Sci., 2012

Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling.
Comput. Phys. Commun., 2012

2010
Multiresolution scheme for Time-Dependent Schrödinger Equation.
Comput. Phys. Commun., 2010

2009
A Maxwell-Schrödinger-Plasma Model and Computing Aspects for Intense, High Frequency and Ultrashort Laser-Gas Interaction.
Proceedings of the High Performance Computing Systems and Applications, 2009

2008
Efficient Parallel Computing for Laser-Gas Quantum Interaction and Propagation.
Proceedings of the 22nd Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2008), 2008

2007
Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems.
J. Sci. Comput., 2007

A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation.
Comput. Phys. Commun., 2007


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